Generalized Poincare inequalities for solutions to the A-harmonic equationin certain domains

Authors
Ding, SS Liu, B
Citation
Ss. Ding et B. Liu, Generalized Poincare inequalities for solutions to the A-harmonic equationin certain domains, J MATH ANAL, 252(2), 2000, pp. 538-548
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
252
Issue
2
Year of publication
2000
Pages
538 - 548
Database
ISI
SICI code
0022-247X(200012)252:2<538:GPIFST>2.0.ZU;2-N
Abstract
We first prove local versions of the Poincare inequality for solutions to t he A-harmonic equation. Then, as applications of the local results, we obta in the global versions of the Poincare inequality for solutions to the A-ha rmonic equation in L-s(mu, 0)-averaging domains and L-S-averaging domains, respectively. These results can be considered as generalizations of the cla ssical Poincare theorem. (C) 2000 Academic Press.